Question

. If α and β are zeroes of polynomial 2x2 – 4x + 5, then find the value of
α β
+
Β α

Answer 1

Answer:The answer is 5.

Step-by-step explanation:

Given equation, 2X² – 4X + 5 = 0

It is a quadratic equation, so it is compared by general form of quadratic equation aX² + bX + c = 0, we get, a=2, b= –4, c= 5.

If α, β are the zeroes of given equation, so

Product of zeroes = c/a = 5/2.

Now, α β + Β α = 5/2 + 5/2 = 10/2 = 5.